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Finding the Third Proportional to 186,867 and 289,902.38

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Solution

The third proportional to 186,867 and 289,902.38 is: 449,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,867 : 289,902.38 = 289,902.38 : x
  2. Step 2: Convert to fraction form
    186,867/289,902.38 = 289,902.38/x
  3. Step 3: Cross multiply
    186,867x = 289,902.38 × 289,902.38
  4. Step 4: Simplify right side
    186,867x = 84,043,387,030.64
  5. Step 5: Solve for x
    x = 84,043,387,030.64/186,867
  6. Step 6: Final answer
    x = 449,749.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.